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3 years ago

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Diana works in a building that is 130 feet tall. She is outside, looking up at the building at an angle of 37° from her feet to

the top of the building.
If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building? Round the answer to the nearest tenth of a foot.

10.3 ft
17.6 ft
30.2 ft
97.2 ft

2 answers:

Elis [28]3 years ago

8 0

Answer: B

Step-by-step explanation:

Pavlova-9 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

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Answer 10 only please, explain how you got your answer

ira [324]

Question:

The circumference of a clock is 22 inches. What is the radius of the clock?

Answer:

Radius = 3.5 inches

Solution:

Shape of the clock is circle.

Circumference of the circle = 2πr

Circumference of a clock = 22 inches

$\Rightarrow2\pi r=22$

$$\Rightarrow2\times\frac{22}{7}\times r=22$

$$\Rightarrow\frac{44}{7}\times r=22$

$$\Rightarrow r=22\times \frac{7}{44}$

$$\Rightarrow r=\frac{7}{2}$

⇒ r = 3.5 inches

Hence the radius of the clock is 3.5 inches.

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3 years ago

Please answer this question

USPshnik [31]

Answer:

C - The relationship represents a function because each input gives one unique output.

Step-by-step explanation:

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(why is it not d? you can have a non-linear line, but still have a function)

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2 years ago

Triangle ABC is similar to triangle CDE. Both are right triangles. Which statements about the two triangles must be true? Choose

Eddi Din [679]

The question ask to choose among the choices that states the truth about the triangle ABC and triangle CDE which is they are similar. The statement that tells the truth is letter C. Triangle ABC is congruent to triangle CDW and also D. Side AC is congruent it side CE. I hope this will help

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4 years ago

John has gross biweekly earnings of $743.61. By claiming 1 more withholding allowance, John would have $19 more in his take home

Afina-wow [57]

Answer:

Total withholding allowances are 39.

Step-by-step explanation:

Given the gross earning of John = $743.61

It is given that 1 withholding allowance = $19

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3 years ago

Help appreciated on question in image!<br> Thanks:)

Verdich [7]

Answer:

$x=-1,\:x=-7,\:x=i,\:x=-i$

Step-by-step explanation:

Considering the equation

$x^4+8x^3+8x^2+8x+7=0$

Solving

$x^4+8x^3+8x^2+8x+7$

$\mathrm{Factor\:}x^4+8x^3+8x^2+8x+7:\quad \left(x+1\right)\left(x+7\right)\left(x^2+1\right)$

As

$\mathrm{Use\:the\:rational\:root\:theorem}$

$a_0=7,\:\quad a_n=1$

$\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:7,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1$

$\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:7}{1}$

$-\frac{1}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+1$

$=\left(x+1\right)\frac{x^4+8x^3+8x^2+8x+7}{x+1}...[A]$

Solving

$\frac{x^4+8x^3+8x^2+8x+7}{x+1}$

$=x^3+7x^2+x+7$

Putting $\frac{x^4+8x^3+8x^2+8x+7}{x+1}$ = $x^3+7x^2+x+7$ in equation [A]

So,

$\left(x+1\right)\frac{x^4+8x^3+8x^2+8x+7}{x+1}...[A]$

$=\left(x+1\right)x^3+7x^2+x+7$

As

$x^3+7x^2+x+7=\left(x+7\right)\left(x^2+1\right)$

So,

Equation [A] becomes

$=\left(x+1\right)\left(x+7\right)\left(x^2+1\right)$

So, the polynomial equation becomes

$\left(x+1\right)\left(x+7\right)\left(x^2+1\right)=0$

$\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$ $\mathrm{Solve\:}\:x+1=0:\quad x=-1$

$\mathrm{Solve\:}\:x+7=0:\quad x=-7$

$\mathrm{Solve\:}\:x^2+1=0:\quad x=i,\:x=-i$

$\mathrm{The\:solutions\:are}$

$x=-1,\:x=-7,\:x=i,\:x=-i$

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5 0

3 years ago

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